Analysis of Noise-Induced Chaos-Order Transitions in Rulkov Model Near Crisis Bifurcations / Bashkirtseva Irina,Ryashko Lev // INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS. - 2017. - V. 27, l. 3.

ISSN/EISSN:
0218-1274 / 1793-6551
Type:
Article
Abstract:
Noise-induced transitions from chaos to order in nonlinear systems with crisis bifurcations are studied. In this study, a discrete-time Rulkov system is used as a conceptual model of the neuronal activity. We investigate probabilistic mechanisms of noise-induced transitions from chaotic spiking to quiescence in zones of crisis bifurcations. To analyze these transitions parametrically, we apply a mathematical technique based on the stochastic sensitivity functions and confidence domains. A stochastic phenomenon of the shifts of crisis bifurcation points and the expansion of the order window under increasing noise is discussed and analyzed. Using our analytical approach, we construct a parametric description of chaotic and regular regimes for the randomly forced Rulkov model.
Author keywords:
Rulkov model; crisis bifurcation; stochastic sensitivity; noise-induced transitions; bifurcations; noise-induced ordering MULTISTABILITY; INTERMITTENCY
DOI:
10.1142/S0218127417300142
Web of Science ID:
ISI:000399165800004
Соавторы в МНС:
Другие поля
Поле Значение
Month MAR
Publisher WORLD SCIENTIFIC PUBL CO PTE LTD
Address 5 TOH TUCK LINK, SINGAPORE 596224, SINGAPORE
Language English
Article-Number 1730014
EISSN 1793-6551
Keywords-Plus MULTISTABILITY; INTERMITTENCY
Research-Areas Mathematics; Science \& Technology - Other Topics
Web-of-Science-Categories Mathematics, Interdisciplinary Applications; Multidisciplinary Sciences
Author-Email Irina.Bashkirtseva@urfu.ru Lev.Ryashko@urfu.ru
Funding-Acknowledgement Russian Science Foundation {[}N 16-11-10098]
Funding-Text The work was supported by Russian Science Foundation (N 16-11-10098).
Number-of-Cited-References 24
Usage-Count-Last-180-days 1
Usage-Count-Since-2013 1
Journal-ISO Int. J. Bifurcation Chaos
Doc-Delivery-Number ER9SB